Background: Worldwide Intra-Uterine Growth Restriction carries out high rate of fetal and neonatal morbidity and mortality. Perinatal mortality rates are 4-8 times higher for growth-retarded infants. IUGR are subdivided into symmetrical and asymmetrical subtypes. Aim of Study: To focus on the actual incidence of each subtype of IUGR and disparities. Methods: Across-sectional descriptive study a...

We characterize the macroscopic effective mechanical behavior of a graphene sheet modeled by a hexagonal lattice of elastic bars, using Γ-convergence.

We introduce new definitions of convergence, based on adding stability criteria to Γ-convergence, that are suitable in many cases for studying convergence of local minimizers.

We study the Γ-convergence of the power-law functionals

In this paper we study the asymptotic behaviour via Γ-convergence of some integral functionals Fε which model some multi-dimensional structures and depend explicitly on the linearized strain tensor. The functionals Fε are defined in particular classes of functions with bounded deformation while the limit problem is set in the usual framework of Sobolev spaces or BD(Ω). We also construct an exam...

We study homogenization by Γ-convergence of functionals of type Z Ω W “ x ε ,∇φ(x) ” dx, where Ω ⊂ RN is a bounded open set, φ ∈ W 1,p(Ω; Rm) and p > 1, when the 1-periodic integrand W : RN ×Mm×N → [0, +∞] is not of p-polynomial growth. Our homogenization technique can be applied when m = N and W has a singular behavior of type W (x, ξ) → +∞ as detξ → 0. However, our technique is not consistent...

We study homogenization by Γ-convergence, with respect to the L1-strong convergence, of periodic multiple integrals in W 1,∞ when the integrand can take infinite values outside of a convex bounded open set of matrices.

The three approaches to too-many-solutions problems discussed in the previous chapter do not treat them as symptomatic of significant generalizations about input-output mappings rather than outputs. Because this systematic challenge to OT is not recognized, previous attacks on these problems, apart from de Lacy's general proposal, see them as an assortment of individual difficult cases and anal...